Highest Common Factor of 423, 671, 115 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 423, 671, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 423, 671, 115 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 423, 671, 115 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 423, 671, 115 is 1.

HCF(423, 671, 115) = 1

HCF of 423, 671, 115 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 423, 671, 115 is 1.

Highest Common Factor of 423,671,115 using Euclid's algorithm

Highest Common Factor of 423,671,115 is 1

Step 1: Since 671 > 423, we apply the division lemma to 671 and 423, to get

671 = 423 x 1 + 248

Step 2: Since the reminder 423 ≠ 0, we apply division lemma to 248 and 423, to get

423 = 248 x 1 + 175

Step 3: We consider the new divisor 248 and the new remainder 175, and apply the division lemma to get

248 = 175 x 1 + 73

We consider the new divisor 175 and the new remainder 73,and apply the division lemma to get

175 = 73 x 2 + 29

We consider the new divisor 73 and the new remainder 29,and apply the division lemma to get

73 = 29 x 2 + 15

We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get

29 = 15 x 1 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 423 and 671 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(73,29) = HCF(175,73) = HCF(248,175) = HCF(423,248) = HCF(671,423) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 115 > 1, we apply the division lemma to 115 and 1, to get

115 = 1 x 115 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 115 is 1

Notice that 1 = HCF(115,1) .

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Frequently Asked Questions on HCF of 423, 671, 115 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 423, 671, 115?

Answer: HCF of 423, 671, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 423, 671, 115 using Euclid's Algorithm?

Answer: For arbitrary numbers 423, 671, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.